To evaluate the expressions:
7C1:
7C1 represents the number of ways to choose 1 item from a set of 7 items without regard to order, which is known as a combination.
7C1 = 7! / (1!(7-1)!)
= 7! / (1! * 6!)
= 7 / 1
= 7
Therefore, 7C1 is equal to 7.
6P4:
6P4 represents the number of ways to arrange 4 items in a sequence from a set of 6 items, taking order into account. This is known as a permutation.
6P4 = 6! / (6-4)!
= 6! / 2!
= 6 * 5 * 4 * 3
= 360
Therefore, 6P4 is equal to 360.
